If 5x^{2}-4x-1 is divided by x-1,then the rem | vedclass

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(A) Let the polynomial be $f(x) = 5x^{2} - 4x - 1$.According to the Remainder Theorem,when a polynomial $f(x)$ is divided by $(x - a)$,the remainder i

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(A) Let the polynomial be $f(x) = 5x^{2} - 4x - 1$.According to the Remainder Theorem,when a polynomial $f(x)$ is divided by $(x - a)$,the remainder is $f(a)$.Here,the divisor is $(x - 1)$,so $a = 1$.Substituting $x = 1$ into the polynomial:$f(1) = 5(1)^{2} - 4(1) - 1$$f(1) = 5(1) - 4 - 1$$f(1) = 5 - 5 = 0$.Therefore,the remainder is $0$.

If $5x^{2}-4x-1$ is divided by $x-1$,then the remainder is

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